| Exam Board | Edexcel |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Topic | Polynomial Division & Manipulation |
| Type | Algebraic Fraction Multiplication and Division |
| Difficulty | Moderate -0.8 This is a straightforward algebraic fraction question requiring factorization of quadratics and simplification. The steps are routine: factor numerators and denominators (x²-8x+15=(x-3)(x-5), x²-9=(x-3)(x+3), 2x²+6x=2x(x+3)), then cancel common factors. It's mechanical with no problem-solving insight needed, making it easier than average but not trivial due to the multiple factorizations required. |
| Spec | 1.02k Simplify rational expressions: factorising, cancelling, algebraic division |
Express as a single fraction in its simplest form
$$\frac{x^2 - 8x + 15}{x^2 - 9} \times \frac{2x^2 + 6x}{(x - 5)^2}.$$ [4]
\hfill \mbox{\textit{Edexcel C3 Q37 [4]}}